The area bounded by the coordinate axes and normal to the curve y=logex at the point P (1, 0), is

The area bounded by the coordinate axes and normal to the curve y=logex at the point P (1, 0), is

  1. A

    1 sq. unit

  2. B

    2 sq. units

  3. C

    12 sq. unit

  4. D

    none of these

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    Solution:

    We have,

    y=logexdydx=1xdydxp=1

    The equation of the normal at (1, 0) is

    y0=1(x1)x+y=1

    Clearly, it makes a triangle of area 12 sq. unit with the

    coordinate axes.

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